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Finding the Fourth Proportional to 836, 1,253.64 and 424.93

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Solution

The fourth proportional to 836, 1,253.64 and 424.93 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836 : 1,253.64 = 424.93 : x
  2. Step 2: Convert to fraction form
    836/1,253.64 = 424.93/x
  3. Step 3: Cross multiply
    836x = 1,253.64 × 424.93
  4. Step 4: Simplify right side
    836x = 532,709.25
  5. Step 5: Solve for x
    x = 532,709.25/836
  6. Step 6: Final answer
    x = 637.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.